Base | Representation |
---|---|
bin | 101010011101… |
… | …1011110010000 |
3 | 1112220010001100 |
4 | 1110323132100 |
5 | 21144414241 |
6 | 2113104400 |
7 | 360144510 |
oct | 124733620 |
9 | 45803040 |
10 | 22263696 |
11 | 11627054 |
12 | 7558100 |
13 | 47c68b0 |
14 | 2d57840 |
15 | 1e4b9b6 |
hex | 153b790 |
22263696 has 120 divisors (see below), whose sum is σ = 76731200. Its totient is φ = 5868288.
The previous prime is 22263691. The next prime is 22263707. The reversal of 22263696 is 69636222.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22263696.
It is not an unprimeable number, because it can be changed into a prime (22263691) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12255 + ... + 13953.
Almost surely, 222263696 is an apocalyptic number.
22263696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22263696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365600).
22263696 is an abundant number, since it is smaller than the sum of its proper divisors (54467504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22263696 is a wasteful number, since it uses less digits than its factorization.
22263696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1733 (or 1724 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 22263696 is about 4718.4421157836. The cubic root of 22263696 is about 281.3190147671.
The spelling of 22263696 in words is "twenty-two million, two hundred sixty-three thousand, six hundred ninety-six".
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